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Finding the Fourth Proportional to 1,433.48, 2,148.68 and 611.33

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Solution

The fourth proportional to 1,433.48, 2,148.68 and 611.33 is: 916.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.48 : 2,148.68 = 611.33 : x
  2. Step 2: Convert to fraction form
    1,433.48/2,148.68 = 611.33/x
  3. Step 3: Cross multiply
    1,433.48x = 2,148.68 × 611.33
  4. Step 4: Simplify right side
    1,433.48x = 1,313,543.33
  5. Step 5: Solve for x
    x = 1,313,543.33/1,433.48
  6. Step 6: Final answer
    x = 916.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.